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Finding the Third Proportional to 454.69 and 863.81

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Solution

The third proportional to 454.69 and 863.81 is: 1,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.69 : 863.81 = 863.81 : x
  2. Step 2: Convert to fraction form
    454.69/863.81 = 863.81/x
  3. Step 3: Cross multiply
    454.69x = 863.81 × 863.81
  4. Step 4: Simplify right side
    454.69x = 746,172.04
  5. Step 5: Solve for x
    x = 746,172.04/454.69
  6. Step 6: Final answer
    x = 1,641.07

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.